Thread: inequality in quadrilateral

In convex quadrilateral ABCD, K is midpoint of AB, M is midpoint CD,. Prove that $ KM \le \frac{BC+AD}{2} $.

Originally Posted by olkaabc

Prove that $ KM \le \frac{BC+AD}{2} $.

Huh?

Originally Posted by olkaabc

In convex quadrilateral ABCD, K is midpoint of AB, M is midpoint CD,. Prove that .

We know that and

If you add those two together and divide by two, what do get?